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Finding the Third Proportional to 18,947.30 and 31,576.95

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Solution

The third proportional to 18,947.30 and 31,576.95 is: 52,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947.30 : 31,576.95 = 31,576.95 : x
  2. Step 2: Convert to fraction form
    18,947.30/31,576.95 = 31,576.95/x
  3. Step 3: Cross multiply
    18,947.30x = 31,576.95 × 31,576.95
  4. Step 4: Simplify right side
    18,947.30x = 997,103,475.27
  5. Step 5: Solve for x
    x = 997,103,475.27/18,947.30
  6. Step 6: Final answer
    x = 52,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.